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                [USACO2011 Feb]Best Parenthesis                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><p><font size="3" face="Times New Roman">Recently, the cows have been competing with strings of balanced <br />
parentheses and comparing them with each other to see who has the <br />
best one. <br />
<br />
Such strings are scored as follows (all strings are balanced): the <br />
string &quot;()&quot; has score 1; if &quot;A&quot; has score s(A) then &quot;(A)&quot; has score <br />
2*s(A); and if &quot;A&quot; and &quot;B&quot; have scores s(A) and s(B), respectively, <br />
then &quot;AB&quot; has score s(A)+s(B). For example, s(&quot;(())()&quot;) = <br />
s(&quot;(())&quot;)+s(&quot;()&quot;) = 2*s(&quot;()&quot;)+1 = 2*1+1 = 3. <br />
<br />
Bessie wants to beat all of her fellow cows, so she needs to calculate <br />
the score of some strings. Given a string of balanced parentheses <br />
of length N (2 &lt;= N &lt;= 100,000), help Bessie compute its score. <br />
<br />
计算&ldquo;平衡字符串&rdquo;的分数，&ldquo;平衡字符串&rdquo;是指由相同数量的&lsquo;（&rsquo;和&lsquo;）&rsquo;组成， <br />
且以&lsquo;（&rsquo;开头，以&lsquo;）&rsquo;结尾的字符串。 <br />
计算规则： <br />
字符串&ldquo;（）&rdquo;的得分是1. <br />
如果，平衡字符串&ldquo;A&rdquo;的得分是是S(A)，那么字符串&ldquo;（A）&rdquo;得分是2*S(A) ； <br />
如果，&ldquo;A&rdquo;，&ldquo;B&rdquo; 得分分别是S(A)和S(B)，那么平衡字符串&ldquo;AB&rdquo;得分为S(A)+S(B) <br />
例如：s(&quot;(())()&quot;) =s(&quot;(())&quot;)+s(&quot;()&quot;) = 2*s(&quot;()&quot;)+1 = 2*1+1 = 3.</font></p></p><hr/><h3>输入格式</h3><p><p><font size="3" face="Times New Roman">* Line 1: A single integer: N <br />
<br />
* Lines 2..N + 1: Line i+1 will contain 1 integer: 0 if the ith <br />
character of the string is '(', and 1 if the ith character of <br />
the string is ')' <br />
第1行：N，平衡字符串长度 <br />
第2至N+1行：Linei+1 整数0或1,0代表字符&lsquo;（&rsquo;，1代表&lsquo;）&rsquo;</font></p></p><hr/><h3>输出格式</h3><p><p><font size="3" face="Times New Roman">* Line 1: The score of the string. Since this number can get quite <br />
large, output the score modulo 12345678910. <br />
计算字符串得分，结果对12345678910取模</font></p></p><hr/><h3>样例输入</h3><pre>6
0
0
1
1
0
1
INPUT DETAILS:

This corresponds to the string "(())()".

</pre><hr/><h3>样例输出</h3><pre>
3
</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>Silver</p>
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